Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 962 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.5/6 + 2/3 = ? (a) 4/3 (b) 7/9 (c) 5/3 (d) 3/2
2. 2.In how many years will ₹2000 earn ₹640 simple interest at 8% per year? (a) 5 years (b) 3 years (c) 8 years (d) 4 years
3. 3.A bag marked ₹460 is sold at a 10% discount. What is its selling price? (a) ₹506 (b) ₹46 (c) ₹450 (d) ₹414
4. 4.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 60 cm (c) 19 cm (d) 34 cm
5. 5.Which is the smallest: 0.096, 0.623, 0.74, 0.7? (a) 0.096 (b) 0.623 (c) 0.74 (d) 0.7
6. 6.Every pair follows the same rule: 3 : 9, 4 : 16, 8 : 64. What is 7 : ? (a) 13 (b) 52 (c) 49 (d) 21
7. 7.If 6x − 45 = 27, what is x? (a) 11 (b) 72 (c) 12 (d) 13
8. 8.₹517 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹47 (b) ₹94 (c) ₹470 (d) ₹423
9. 9.In how many years will ₹4500 earn ₹945 simple interest at 7% per year? (a) 4 years (b) 3 years (c) 6 years (d) 2 years
10. 10.What is 40% of 240? (a) 96 (b) 960 (c) 192 (d) 144
11. 11.What is the average of all the whole numbers from 31 to 63? (a) 47 (b) 48 (c) 16 (d) 32
12. 12.Which fraction is greater: 2/5 or 10/11? (a) They are equal (b) 2/5 (c) 10/11
13. 13.A bag marked ₹1320 is sold at a 10% discount. What is its selling price? (a) ₹1188 (b) ₹132 (c) ₹1310 (d) ₹1452
14. 14.Every pair follows the same rule: 3 : 11, 5 : 13, 9 : 17. What is 6 : ? (a) 13 (b) 15 (c) 14 (d) 16
15. 15.What is the average of all the whole numbers from 21 to 41? (a) 32 (b) 31 (c) 10 (d) 20
16. 16.Which fraction is greater: 6/7 or 4/5? (a) 4/5 (b) They are equal (c) 6/7
17. 17.The simple interest on ₹3000 for 3 years is ₹630. What is the rate per year? (a) 21% (b) 8% (c) 7% (d) 6%
18. 18.What is the smallest number you must add to 104 to make it divisible by 5? (a) 2 (b) 3 (c) 4 (d) 1
19. 19.What is the smallest number you must add to 272 to make it divisible by 5? (a) 1 (b) 4 (c) 3 (d) 2
20. 20.If 7 kites cost ₹35, how much do 12 kites cost? (a) ₹420 (b) ₹65 (c) ₹60 (d) ₹40
21. 21.Which of these numbers is divisible by 11? (a) 5683 (b) 5690 (c) 5705 (d) 5687
22. 22.In how many years will ₹4000 earn ₹800 simple interest at 4% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
23. 23.If 4x − 9 = 3, what is x? (a) 4 (b) 12 (c) 2 (d) 3
24. 24.Every pair follows the same rule: 2 : 6, 6 : 22, 7 : 26. What is 5 : ? (a) 18 (b) 15 (c) 19 (d) 9
25. 25.What is the average of all the whole numbers from 56 to 80? (a) 12 (b) 68 (c) 24 (d) 69
26. 26.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 64 sq cm (c) 38 sq cm (d) 19 sq cm
27. 27.If 8 December is a Sunday, what day of the week is 23 December? (a) Monday (b) Tuesday (c) Wednesday (d) Sunday
28. 28.If 6x − 3 = 87, what is x? (a) 16 (b) 90 (c) 14 (d) 15
29. 29.What is the smallest number you must add to 157 to make it divisible by 4? (a) 3 (b) 2 (c) 1
30. 30.Which of these numbers is divisible by 3? (a) 2080 (b) 2083 (c) 2077 (d) 2079
31. 31.Two ribbons are 30 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 50 cm (c) 30 cm (d) 10 cm
32. 32.If 6 pens cost ₹150, how much do 7 pens cost? (a) ₹200 (b) ₹151 (c) ₹1050 (d) ₹175
33. 33.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 80 min (b) 18 min (c) 2 min (d) 40 min
34. 34.1/3 + 2/3 = ? (a) 4/3 (b) 1 (c) 2/3 (d) 1/2
35. 35.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 62 (b) 54 (c) 118 (d) 72
36. 36.9 workers can build a wall in 14 days. How many days will 6 workers take, working at the same speed? (a) 22 days (b) 17 days (c) 11 days (d) 21 days
37. 37.5.91 + 9.3 = ? (a) 15.21 (b) 15.31 (c) 15.11 (d) 6.84
38. 38.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 48 min (c) 2 min (d) 24 min
39. 39.What is the simple interest on ₹2500 at 9% per year for 5 years? (a) ₹1350 (b) ₹225 (c) ₹1125 (d) ₹3625
40. 40.Which is the smallest: 0.121, 0.24, 0.069, 0.2? (a) 0.121 (b) 0.24 (c) 0.069 (d) 0.2

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